Thomas Delzant, Université de Strasbourg

Fundamental groups of Kahler manifolds.

Abtract. A group is Kaehler if it can be realized as the fundamental group of a

compact Kaehler manifold (e.g., complex projective). A classical problem is to

identify which groups are Kaehler. I will describe some constraints coming from

combinatorial group theory (cohomology, small cancelation theory, existence of a

splitting or a cubing, etc.